On n-algebraic structures in the Calogero model-Reference-Cited by-同舟云学术

On n-algebraic structures in the Calogero model

Published:2020-08-20 Issue:23 Volume:35 Page:2050137
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Zhang Chun-Hong¹,Wang Rui²

Affiliation:

1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China

2. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Abstract

We construct two realizations of the [Formula: see text] algebra in the classical Calogero model based on the [Formula: see text] constraints for the Hermitian one-matrix model. We also discuss the quantum Calogero model and construct the new operators which yield the closed [Formula: see text][Formula: see text]-algebra. The super [Formula: see text][Formula: see text]-algebra is derived for the supersymmetric quantum Calogero model.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X20501377

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